Allan Higgins
07/05/2023 · Senior High School
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. \( f(x)=9+x^{2} ; f^{\prime}(-3), f^{\prime}(0), f^{\prime}(6) \)
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The derivative of \( f(x) = 9 + x^2 \) is \( f'(x) = 2x \). The values of the derivative at \( x = -3, 0, \) and \( 6 \) are \( -6, 0, \) and \( 12 \) respectively.
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